At a certain party, an executive committee provided one soda for 8 people, one large bag of chips for 4 people, and one cheese cake for 6 people. If the total number of sodas, large bag of chips, and cheese cakes was 78, how many people were at the party?
+128407 Call the number of people, N
So....the number of sodas = N / 8
The number of bags of chips = N / 4
The number of cheesecakes = N / 6
And the total of these = 78
So we have
N /8 + N /4 + N/6 = 78 the common denominator = 24, so....
3N + 6N + 4N
___________ = 78 multiply both sides by 24
24
13N = 78 * 24 divide both sides by 13
N = (78/13) * 24
N = 6 * 24
N = 144 people
